Math

Surface Area of a Triangular Prism Calculator

Find the surface area of a triangular prism.

Calculated Output

Surface area 132

Triangle face area 6

Formula: SA = 2·triArea + perimeter·length

Step-by-Step Breakdown

1. Values used:

2. Triangle side a = 3

3. Triangle side b = 4

4. Triangle side c = 5

5. Prism length = 10

7. Surface area = 132

8. Triangle face area = 6

Did this calculator solve your problem today?

The math behind it

Surface area = 2 × (triangle area) + (triangle perimeter × length). The triangle area uses Heron's formula.

Triangle 3-4-5 (area 6), length 10 → 2(6) + 12(10) = 132.

What is the triangle perimeter here?

a + b + c = 3 + 4 + 5 = 12, multiplied by the prism length for the side faces.